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Finding the Fourth Proportional to 28,243.32, 38,980.86 and 16,305

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Solution

The fourth proportional to 28,243.32, 38,980.86 and 16,305 is: 22,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,243.32 : 38,980.86 = 16,305 : x
  2. Step 2: Convert to fraction form
    28,243.32/38,980.86 = 16,305/x
  3. Step 3: Cross multiply
    28,243.32x = 38,980.86 × 16,305
  4. Step 4: Simplify right side
    28,243.32x = 635,582,922.30
  5. Step 5: Solve for x
    x = 635,582,922.30/28,243.32
  6. Step 6: Final answer
    x = 22,503.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.